Amusia is a congenital disorder that adversely impacts one's perception of music. a study examined the pitch memory of individuals diagnosed with amusia. each in a sample of 19 amusiacs listened to a series of tone pairs and was asked to determine if the tones were the same or different. in the first trial, the tones were separated by 1 second; in a second trial, the tones were separated by 5 seconds. the difference in accuracy scores for the two trials was determined for each amusiac (where the difference in the score on the first trial minus the score on the second trial). the mean score was 0.12 with a standard deviation of 0.21. complete parts a through b below. a. in theory, the longer the delay between tones, the less likely one is to detect a difference between the tones. consequently, the true mean score difference should exceed 0. set up the null and alternative hypotheses for testing the theory.
b. carry out the test, part a, using a = .05. is there evi- dence to support the theory?